1 /*
2 * Dropbear - a SSH2 server
3 *
4 * Copyright (c) 2002,2003 Matt Johnston
5 * All rights reserved.
6 *
7 * Permission is hereby granted, free of charge, to any person obtaining a copy
8 * of this software and associated documentation files (the "Software"), to deal
9 * in the Software without restriction, including without limitation the rights
10 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
11 * copies of the Software, and to permit persons to whom the Software is
12 * furnished to do so, subject to the following conditions:
13 *
14 * The above copyright notice and this permission notice shall be included in
15 * all copies or substantial portions of the Software.
16 *
17 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
18 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
19 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
20 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
21 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
22 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
23 * SOFTWARE. */
24
25 #include "includes.h"
26 #include "dbutil.h"
27 #include "bignum.h"
28 #include "random.h"
29 #include "rsa.h"
30 #include "genrsa.h"
31
32 #define RSA_E 65537
33
34 #ifdef DROPBEAR_RSA
35
36 static void getrsaprime(mp_int* prime, mp_int *primeminus,
37 mp_int* rsa_e, unsigned int size);
38
39 /* mostly taken from libtomcrypt's rsa key generation routine */
gen_rsa_priv_key(unsigned int size)40 rsa_key * gen_rsa_priv_key(unsigned int size) {
41
42 rsa_key * key;
43 DEF_MP_INT(pminus);
44 DEF_MP_INT(qminus);
45 DEF_MP_INT(lcm);
46
47 key = (rsa_key*)m_malloc(sizeof(rsa_key));
48
49 key->e = (mp_int*)m_malloc(sizeof(mp_int));
50 key->n = (mp_int*)m_malloc(sizeof(mp_int));
51 key->d = (mp_int*)m_malloc(sizeof(mp_int));
52 key->p = (mp_int*)m_malloc(sizeof(mp_int));
53 key->q = (mp_int*)m_malloc(sizeof(mp_int));
54
55 m_mp_init_multi(key->e, key->n, key->d, key->p, key->q,
56 &pminus, &lcm, &qminus, NULL);
57
58 seedrandom();
59
60 if (mp_set_int(key->e, RSA_E) != MP_OKAY) {
61 fprintf(stderr, "rsa generation failed\n");
62 exit(1);
63 }
64
65 /* PuTTY doesn't like it if the modulus isn't a multiple of 8 bits,
66 * so we just generate them until we get one which is OK */
67 getrsaprime(key->p, &pminus, key->e, size/2);
68 do {
69 getrsaprime(key->q, &qminus, key->e, size/2);
70
71 if (mp_mul(key->p, key->q, key->n) != MP_OKAY) {
72 fprintf(stderr, "rsa generation failed\n");
73 exit(1);
74 }
75 } while (mp_count_bits(key->n) % 8 != 0);
76
77 /* lcm(p-1, q-1) */
78 if (mp_lcm(&pminus, &qminus, &lcm) != MP_OKAY) {
79 fprintf(stderr, "rsa generation failed\n");
80 exit(1);
81 }
82
83 /* de = 1 mod lcm(p-1,q-1) */
84 /* therefore d = (e^-1) mod lcm(p-1,q-1) */
85 if (mp_invmod(key->e, &lcm, key->d) != MP_OKAY) {
86 fprintf(stderr, "rsa generation failed\n");
87 exit(1);
88 }
89
90 mp_clear_multi(&pminus, &qminus, &lcm, NULL);
91
92 return key;
93 }
94
95 /* return a prime suitable for p or q */
getrsaprime(mp_int * prime,mp_int * primeminus,mp_int * rsa_e,unsigned int size)96 static void getrsaprime(mp_int* prime, mp_int *primeminus,
97 mp_int* rsa_e, unsigned int size) {
98
99 unsigned char *buf;
100 DEF_MP_INT(temp_gcd);
101
102 buf = (unsigned char*)m_malloc(size+1);
103
104 m_mp_init(&temp_gcd);
105 do {
106 /* generate a random odd number with MSB set, then find the
107 the next prime above it */
108 genrandom(buf, size+1);
109 buf[0] |= 0x80; /* MSB set */
110
111 bytes_to_mp(prime, buf, size+1);
112
113 /* find the next integer which is prime, 8 round of miller-rabin */
114 if (mp_prime_next_prime(prime, 8, 0) != MP_OKAY) {
115 fprintf(stderr, "rsa generation failed\n");
116 exit(1);
117 }
118
119 /* subtract one to get p-1 */
120 if (mp_sub_d(prime, 1, primeminus) != MP_OKAY) {
121 fprintf(stderr, "rsa generation failed\n");
122 exit(1);
123 }
124 /* check relative primality to e */
125 if (mp_gcd(primeminus, rsa_e, &temp_gcd) != MP_OKAY) {
126 fprintf(stderr, "rsa generation failed\n");
127 exit(1);
128 }
129 } while (mp_cmp_d(&temp_gcd, 1) != MP_EQ); /* while gcd(p-1, e) != 1 */
130
131 /* now we have a good value for result */
132 mp_clear(&temp_gcd);
133 m_burn(buf, size+1);
134 m_free(buf);
135 }
136
137 #endif /* DROPBEAR_RSA */
138